Problem 1.(10 points) In a study to estimate the proportion of residents in a city that support the construction of a new bypass road in the vicinity, a random sample of 900 residents were polled. Let X denote the number in the samplewho supported the proposal. To estimate the true proportion in support of the plan, we can compute pX+/900/2 The estimator p has bias900O A. 1/(2 x 30).B.DEDOB. 0, so unbiased.A145OC. 1/30.O D. 30/2.+1O E. 1/900.?Problem 2.(10 points) Based on a random sample of 50, a 95% confidence interval for the population proportion was computed. Holding everything else constant, which of the following will reduce the length of the confidence interval byat about a half? (CHECK ALL THAT ADDI V12°CQ Search10ЯCloudy2W£3.#YEB$1014‒‒▬€KRA15D%5ET166HP4-&ly7*+8(9► 11APpreview answersO ENGobinsert22:2129/03/2023←EpBANG

Answered: (10 points) In a study to estimate the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A sample of n=25 scores has a mean of M=68. Find the z-score for this sample: if it was obtained from a population with u=60 and 0=10
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a= 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 31 34 41 25 24 290 27 30 33 30 29 28 30 25 23 OD. Ho p 32 Ha p2 32 Ha p< 32 Ha us 32 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
In a poll of 1500 adults in July 2010, 780 of those polled said that schools should ban sugary snacks and soft drinks. Complete parts a and b below. 1. Find the value of the test statistic z. z = _____ (Round to two decimal places as needed.) 2. Find the value of the corresponding p-value for this test statistic z. p-value = _____ (Round to three decimal places as needed.) 3. Do you reject or not reject the null hypothesis? 4. b. Choose the best interpretation of the results you obtained in part a.
16% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 337 people from the inner city surveyed, 47 of them suffered from sleep apnea. What can be concluded at the level of significance of α= 0.05? a. The test statistic= (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
Please solve for G, H, and I.
In testing the hypotheses H0:p = 0.62 vs Ha: p≠ 0.62, the test statistic is calculated to be z = 2.11. Which of the following is the correct p-value? A. 0.0348 B. 0.0174 C. 0.9862 D. 1.9652
A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is p = 60, find the z-score for this sample: If it was obtained from a population with o = 16 Z = If it was obtained from a population with o = 32 Z = If it was obtained from a population with o = 48 Z =
A researcher is interested in hamster wheel-running activity during the summer versus the winter. She suspects that either the hamsters will run less during the winter to conserve energy or they will run more to keep warm. She records the activity of n = 25 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February. The data are collected, and the results show an average difference score of MD - 5.7 and a sum of squares of SS = 2,851.44. What is the sample standard deviation (s) for the D scores? (one decimal)
b) Calculate the fitness of a population with allele frequency x = 0.4. W = Give your answer rounded to 2 decimal places. Find the allele frequency, x, of a population with fitness 0.2. X =

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